Page 121 - Basic Structured Grid Generation
P. 121
110 Basic Structured Grid Generation
We also need in numerical calculations the partial derivatives
∂x ∂η ∂x ∂ξ ∂y ∂η ∂y ∂ξ
= J , =−J , =−J , = J ,
∂ξ ∂y ∂η ∂y ∂ξ ∂x ∂η ∂x
where the Jacobian J is given by
∂x ∂y ∂x ∂y
J = − = h 2 (ξ) − h 1 (ξ).
∂ξ ∂η ∂η ∂ξ
Fig. 4.23 Boundary-conforming algebraic grid.
Fig. 4.24 Algebraic grid with grid-clustering near lower boundary.
Fig. 4.25 Algebraic grid with grid-clustering near lower boundary.
